Question

when two lines intersect, the angles on the same side of the line form ____________ congruent angles linear angles complementary angles vertical angles

Explanation:

• Congruent angles: Angles that have the same measure. This is not relevant as the question is about angles on the same - side of a line formed by intersection.
• Linear angles: When two lines intersect, angles on the same side of a line (in this case, angles \(1\) and \(2\) which are adjacent and their non - common sides form a straight line) are called linear pairs. The sum of angles in a linear pair is \(180^{\circ}\).
• Complementary angles: Angles whose sum is \(90^{\circ}\). Since the angles formed by two intersecting lines on the same side of a line (as in the given figure) sum to \(180^{\circ}\) (a straight line), this is not the case.
• Vertical angles: Angles opposite each other when two lines intersect. They are congruent but not on the same side of a line.

Answer:

Linear angles